No official proposal to create such a program has been announced publicly, but veterans groups wrote a pre-emptive letter last week to President Obama voicing their opposition to the idea after hearing the plan was under consideration.

The groups also cited an increase in “third-party collections” estimated in the 2010 budget proposal — something they said could be achieved only if the Veterans Administration started billing for service-related injuries.

Asked about the proposal, Shinseki said it was under “consideration.”

“A final decision hasn’t been made yet,” he said.

Currently, veterans’ private insurance is charged only when they receive health care from the VA for medical issues that are not related to service injuries, like getting the flu.

Charging for service-related injuries would violate “a sacred trust,” Veterans of Foreign Wars spokesman Joe Davis said. Davis said the move would risk private health care for veterans and their families by potentially maxing out benefits paying for costly war injury treatments.

Eleven of the most prominent veterans organizations have been lobbying Congress to oppose the idea. In the letter sent last week to the president, the groups warned that the idea “is wholly unacceptable and a total abrogation of our government’s moral and legal responsibility to the men and women who have sacrificed so much.”

The groups included The American Legion, Disabled American Veterans, Military Order of the Purple Heart, Veterans of Foreign Wars of the United States, and Iraq and Afghanistan Veterans of America.

At the time, a White House spokesman would neither confirm nor deny the option was being considered.